{"title":"Regarding a Novel Subclass of Harmonic Multivalent Functions Defined by Higher-Order Differential Inequality","authors":"Serkan Çakmak","doi":"10.1007/s40995-024-01697-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we present a novel subclass of multivalent harmonic functions that incorporates higher-order derivatives within an open unit disk. We investigate growth estimates, convexity radii, starlikeness, and coefficient bounds specific to this class. Furthermore, we explore the closed property of this subclass under convolution operations.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1541 - 1550"},"PeriodicalIF":1.4000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01697-7","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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Abstract
In this paper, we present a novel subclass of multivalent harmonic functions that incorporates higher-order derivatives within an open unit disk. We investigate growth estimates, convexity radii, starlikeness, and coefficient bounds specific to this class. Furthermore, we explore the closed property of this subclass under convolution operations.
期刊介绍：
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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